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Finding the Fourth Proportional to 313,389.80, 469,890.30 and 180,204.20

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Solution

The fourth proportional to 313,389.80, 469,890.30 and 180,204.20 is: 270,194.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,389.80 : 469,890.30 = 180,204.20 : x
  2. Step 2: Convert to fraction form
    313,389.80/469,890.30 = 180,204.20/x
  3. Step 3: Cross multiply
    313,389.80x = 469,890.30 × 180,204.20
  4. Step 4: Simplify right side
    313,389.80x = 84,676,205,599.26
  5. Step 5: Solve for x
    x = 84,676,205,599.26/313,389.80
  6. Step 6: Final answer
    x = 270,194.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.